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Finding the Third Proportional to 1,336,171 and 3,118,309

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Solution

The third proportional to 1,336,171 and 3,118,309 is: 7,277,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336,171 : 3,118,309 = 3,118,309 : x
  2. Step 2: Convert to fraction form
    1,336,171/3,118,309 = 3,118,309/x
  3. Step 3: Cross multiply
    1,336,171x = 3,118,309 × 3,118,309
  4. Step 4: Simplify right side
    1,336,171x = 9,723,851,019,481
  5. Step 5: Solve for x
    x = 9,723,851,019,481/1,336,171
  6. Step 6: Final answer
    x = 7,277,400.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.